Geometry (Translations of Mathematical Monographs)

V. V. Prasolov and V. M. Tikhomirov

ISBN 10: 0821820389 / ISBN 13: 9780821820384

Verlag: American Mathematical Society, 2001

Beschreibung

Very Good. Bestandsnummer des Verkäufers D8S0-3-M-0821820389-5

Bibliografische Details

Titel: Geometry (Translations of Mathematical ...

Verlag: American Mathematical Society

Erscheinungsdatum: 2001

Einband: hardcover

Zustand: Very Good

Art des Buches: book

Über diesen Titel

Inhaltsangabe:

Book by V V Prasolov and V M Tikhomirov

Reseña del editor:

This book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced. An important notion of duality of geometric objects is highlighted throughout the book. The authors also include a detailed presentation of the theory of conics and quadrics, including the theory of conics for non-Euclidean geometries. The book contains many beautiful geometric facts and has plenty of problems, most of them with solutions, which nicely supplement the main text. With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry.